Trucks arrive at a firms unloading facility according to a Poission distirbution at the mean rate of
Question:
Trucks arrive at a firm’s unloading facility according to a Poission distirbution at the mean rate of twenty trucks per day. Only one turck at a time can e unloaded; however, unlimited space is availbe for trucks to wait for service. Assume an infinite population of trucks. The firm wishes to determien the optimal number of workers to employ for unloading the trucks per working day without diminishing efficiency, up to a ,aximum of eight workers day without diminishing efficiency, up to a maximum of eight workers. The unloading rate varis according to a poisson distribution. Workers are paid $25 per day, while the estimated cost of waititng trucks is $50 per day, per truck s (20) and the average rate at which workers can unload the trucks (5 per working day), and they have concluded that they should employ four workers (20/ 5 = 4). Determine whether the firm has arrived at a good decision.
Analyse this queuing problem and make your recommendation for the optimal number of dock workers needed. Present your decision analusis needed to support your answer
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman